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Competition in the chemostat when one competitor produces a toxin

โœ Scribed by S. B. Hsu; Paul Waltman


Book ID
105721504
Publisher
Japan Society for Industrial and Applied Mathematics
Year
1998
Tongue
English
Weight
875 KB
Volume
15
Category
Article
ISSN
0916-7005

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The 3-D Hopf bifurcation in bio-reactor
โœ Xuncheng Huang; Lemin Zhu; Edward H.C. Chang ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 202 KB

In this paper, a model of competition in the bio-reactor of two competitors for a single nutrient where one of the competitors can produce toxin against its opponent is investigated. The conditions of the three dimensional Hopf bifurcation are obtained. The Hopf bifurcation implies the existence of